Question

Polio drops are delivered to 50 K children in a district. The rate at which polio drops are given is directly proportional to the number of children who have not been administered the drops. By the end of 2^nd week half the children have been given the polio drops. How many will have been given the drops by the end of 3^rd week can be estimated using the solution to the differential equation `"dy"/"dx" = "k"(50 - "y")` where x denotes the number of weeks and y the number of children who have been given the drops.

The solution of the differential equation `"dy"/"dx" = "k"(50 - "y")` is given by ______.

पर्याय

• log |50 - y| = kx + C

• - log |50 - y| = kx + C

• log |50 - y| = log |kx| + C

• 50 - y = kx + C

Answer 1

The solution of the differential equation `"dy"/"dx" = "k"(50 - "y")` is given by - log |50 - y| = kx + C.